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Combinatorial Optimization Jobs (NOW HIRING)

We are looking for an AI Optimization Engineer to lead and define our optimization capabilities ... If you are energized by hard combinatorial problems, want to build and own a solver capability from ...

Senior Software Engineer, AI Networking

Santa Clara, CA · On-site

$143K - $189K/yr

These include tools that use ML-based combinatorial optimization and build space exploration (DSE) techniques. These tools will be employed to optimize AI workloads across large GPU and CPU clusters ...

Senior Software Engineer, AI Networking

Seattle, WA · On-site

$139K - $183K/yr

These include tools that use ML-based combinatorial optimization and build space exploration (DSE) techniques. These tools will be employed to optimize AI workloads across large GPU and CPU clusters ...

Senior ML Engineer

$180K - $200K/yr

You'll work across optimization, machine learning, and geometric deep learning on a hard, real-world combinatorial problem. This is a fully distributed team. We expect high autonomy and high ...

Apply advanced continuous and combinatorial optimization, control, artificial intelligence, machine learning, and algorithmic techniques to build, maintain, and improve on decision systems/processes.

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Combinatorial Optimization information

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$41.5K

$142.5K

$201K

How much do combinatorial optimization jobs pay per year?

As of Jun 26, 2026, the average yearly pay for combinatorial optimization in the United States is $142,460.00, according to ZipRecruiter salary data. Most workers in this role earn between $118,500.00 and $166,500.00 per year, depending on experience, location, and employer.

What are the key skills and qualifications needed to thrive as a Combinatorial Optimization Specialist, and why are they important?

To thrive as a Combinatorial Optimization Specialist, you need a solid background in mathematics, computer science, and operations research, often supported by an advanced degree in a related field. Familiarity with programming languages (such as Python, C++, or Java), optimization libraries, and mathematical modeling tools like CPLEX or Gurobi is typically required. Strong analytical thinking, problem-solving skills, and effective communication help you devise and explain complex solutions to stakeholders. These skills are crucial for developing efficient algorithms and models that address challenging optimization problems in various industries.

How does a Combinatorial Optimization specialist typically collaborate with other departments within an organization?

Combinatorial Optimization specialists frequently work cross-functionally, partnering with data scientists, software engineers, and business analysts to translate complex business problems into mathematical models. They help teams identify optimal solutions for scheduling, routing, resource allocation, and other operational challenges. Effective communication is crucial, as specialists must explain complex algorithms to non-technical stakeholders and integrate their solutions into broader business processes. Collaborative teamwork and iterative problem-solving are common in this role.

What is the difference between Combinatorial Optimization vs Data Analyst?

AspectCombinatorial OptimizationData Analyst
Required CredentialsMathematics, Operations Research, Computer Science degreesStatistics, Data Science, Business Analytics degrees
Work EnvironmentResearch labs, consulting firms, tech companiesCorporate offices, finance, marketing departments
Industry UsageLogistics, manufacturing, AI, supply chainFinance, marketing, healthcare, retail

While both roles involve analytical skills, Combinatorial Optimization focuses on solving complex mathematical problems to find optimal solutions, often in logistics and operations. Data Analysts interpret data to inform business decisions, working across various industries. Understanding these differences helps clarify career paths and employer expectations.

What is combinatorial optimization?

Combinatorial optimization is a field in mathematics and computer science focused on finding the best solution from a finite set of possible solutions. It involves problems where you need to arrange, select, or group discrete objects according to certain rules to achieve an optimal outcome. Examples include scheduling, routing, and assignment problems. Techniques such as linear programming, branch and bound, and heuristics are often used to solve these problems. Combinatorial optimization is widely applied in logistics, operations research, computer science, and engineering.
More about Combinatorial Optimization jobs
What cities are hiring for Combinatorial Optimization jobs? Cities with the most Combinatorial Optimization job openings:
What states have the most Combinatorial Optimization jobs? States with the most job openings for Combinatorial Optimization jobs include:
What job categories do people searching Combinatorial Optimization jobs look for? The top searched job categories for Combinatorial Optimization jobs are:
Infographic showing various Combinatorial Optimization job openings in the United States as of June 2026, with employment types broken down into 100% Full Time. Highlights an 24% Physical, 1% Hybrid, and 75% Remote job distribution, with an average salary of $142,460 per year, or $68.5 per hour.
AI/ML Scientist - Reinforcement Learning, Simulation & Optimization

AI/ML Scientist - Reinforcement Learning, Simulation & Optimization

Siemens Healthineers

Princeton, NJ • On-site, Remote

Full-time

Medical, Dental, Vision, Life, Retirement, PTO

Posted 5 days ago


Siemens Healthineers rating

8.5

Company rating: 8.5 out of 10

Based on 86 frontline employees who took The Breakroom Quiz

61st of 419 rated machine equipment manufacturers


Job description

Join us in pioneering breakthroughs in healthcare. For everyone. Everywhere. Sustainably.
Our inspiring and caring environment forms a global community that celebrates diversity and individuality. We encourage you to step beyond your comfort zone, offering resources and flexibility to foster your professional and personal growth, all while valuing your unique contributions.

Join Siemens Healthineers' Digital Technology & Innovation (DTI) organization as an AI Scientist - Reinforcement Learning & Operational Twinning, where you will develop next-generation AI systems that optimize healthcare operations through intelligent simulation, sequential decision-making, and digital twin technologies.

In this role, you will help expand and operationalize Siemens Healthineers' Operational Twinning research initiatives across complex healthcare environments. Your work will directly influence how hospitals and health systems improve patient flow, resource allocation, scheduling, capacity management, and operational efficiency at scale. Working at the intersection of reinforcement learning, operations research, simulation, and digital twins, you will design intelligent systems capable of modeling and optimizing real-world healthcare workflows within dynamic virtual environments. This role is ideal for candidates passionate about sequential decision systems, AI-driven simulations, and operational optimization challenges with meaningful real-world impact.

You will collaborate closely with cross-functional R&D, engineering, and clinical teams to translate advanced research into scalable production-ready solutions that improve healthcare accessibility, efficiency, and patient outcomes worldwide.

You are responsible for:

  • Designing and developing reinforcement learning, simulation, and optimization algorithms for Operational Twinning applications in healthcare.

  • Building intelligent decision-making systems that optimize scheduling, patient flow, triage, staffing, and resource utilization across complex healthcare environments.

  • Developing AI-driven simulation environments and workflow models capable of representing real-world clinical and operational systems.

  • Conducting original research in reinforcement learning, sequential decision-making, combinatorial optimization, neural optimization, and hybrid AI-operations research (AI-OR) methods.

  • Translating large-scale operational and healthcare datasets into actionable optimization and policy-learning solutions.

  • Rapidly prototyping, evaluating, and validating novel algorithmic approaches for feasibility, scalability, explainability, and operational impact.

  • Collaborating with multidisciplinary R&D teams to integrate advanced optimization and simulation technologies into Siemens Healthineers' digital health platforms.

  • Publishing scientific research, contributing to patents, and driving innovation in operational AI and healthcare optimization technologies.

  • Staying current with advancements in reinforcement learning, world models, AI simulation, operations research, and autonomous decision systems.

Required Qualifications

  • Ph.D. in Computer Science, Applied Mathematics, Operations Research, Electrical Engineering, Robotics, Artificial Intelligence, or a related technical field.

  • Strong hands-on experience in reinforcement learning, sequential decision-making systems, or simulation-based optimization.

  • Experience developing optimization algorithms, operational AI systems, or digital twin/simulation environments.

  • Strong programming skills in Python and modern ML frameworks such as PyTorch, TensorFlow, or JAX.

  • Experience translating complex real-world operational problems into scalable AI-driven solutions.

  • Strong technical communication skills and demonstrated research contributions through publications, patents, or applied research projects.

Preferred Qualifications

  • Experience with digital twins, workflow simulation, world models, or autonomous systems.

  • Background in operations research, combinatorial optimization, stochastic systems, or control theory.

  • Familiarity with healthcare operations, hospital systems, or clinical workflow optimization.

  • Experience deploying AI solutions into production or cloud-based environments (AWS, Azure, GCP).

  • Industry or applied research experience developing operational AI systems at scale.

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Who we are: We are a team of more than 72,000 highly dedicated Healthineers in more than 70 countries. As a leader in medical technology, we constantly push the boundaries to create better outcomes and experiences for patients, no matter where they live or what health issues they are facing. Our portfolio is crucial for clinical decision-making and treatment pathways.

How we work: When you join Siemens Healthineers, you become one in a global team of scientists, clinicians, developers, researchers, professionals, and skilled specialists, who believe in each individual's potential to contribute with diverse ideas. We are from different backgrounds, cultures, religions, political and/or sexual orientations, and work together, to fight the world's most threatening diseases and enable access to care, united by one purpose: to pioneer breakthroughs in healthcare. For everyone. Everywhere. Sustainably.

To find out more about Siemens Healthineers businesses, please visit our company page here.

The base pay range for this position is:

$154,450 - $212,366

Factors which may affect starting pay within this range may include geography/market, skills, education, experience, and other qualifications of the successful candidate.

If this is a commission eligible position the commission eligibility will be in accordance with the terms of the Company's plan. Commissions are based on individual performance and/or company performance.

The Company offers the following benefits for this position, subject to applicable eligibility requirements: medical insurance, dental insurance, vision insurance, 401(k) retirement plan. life insurance, long-term and short-term disability insurance, paid parking/public transportation, paid time off, paid sick and safe time.

Equal Employment Opportunity Statement: Siemens Healthineers is an Equal Opportunity and Affirmative Action Employer encouraging diversity in the workplace. All qualified applicants will receive consideration for employment without regard to their race, color, creed, religion, national origin, citizenship status, ancestry, sex, age, physical or mental disability unrelated to ability, marital status, family responsibilities, pregnancy, genetic information, sexual orientation, gender expression, gender identity, transgender, sex stereotyping, order of protection status, protected veteran or military status, or an unfavorable discharge from military service, and other categories protected by federal, state or local law.

EEO is the Law: Applicants and employees are protected under Federal law from discrimination. To learn more, click here.

Reasonable Accommodations: Siemens Healthineers is committed to equal employment opportunity. As part of this commitment, we will ensure that persons with disabilities are provided reasonable accommodations.

If you require a reasonable accommodation in completing a job application, interviewing, completing any pre-employment testing, or otherwise participating in the employee selection process, please fill out the accommodations form here. If you're unable to complete the form, you can reach out to our HR People Connect People Contact Center for support at peopleconnectvendorsnam.func@siemens-healthineers.com. Please note HR People Connect People Contact Center will not have visibility of your application or interview status.

California Privacy Notice: California residents have the right to receive additional notices about their personal information. To learn more, click here.

Export Control: "A successful candidate must be able to work with controlled technology in accordance with US export control law." "It is Siemens Healthineers' policy to comply fully and completely with all United States export control laws and regulations, including those implemented by the Department of Commerce through the Export Administration Regulations (EAR), by the Department of State through the International Traffic in Arms Regulations (ITAR), and by the Treasury Department through the Office of Foreign Assets Control (OFAC) sanctions regulations."

Data Privacy: We care about your data privacy and take compliance with GDPR as well as other data protection legislation seriously. For this reason, we ask you not to send us your CV or resume by email. We ask instead that you create a profile in our talent community where you can upload your CV. Setting up a profile lets us know you are interested in career opportunities with us and makes it easy for us to send you an alert when relevant positions become open. Register here to get started.

Beware of Job Scams: Please beware of potentially fraudulent job postings or suspicious recruiting activity by persons that are currently posing as Siemens Healthineers recruiters/employees. These scammers may attempt to collect your confidential personal or financial information. If you are concerned that an offer of employment with Siemens Healthineers might be a scam or that the recruiter is not legitimate, please verify by searching for the posting on the Siemens Healthineers career site.

To all recruitment agencies: Siemens Healthineers does not accept agency resumes. Please do not forward resumes to our jobs alias, employees, or any other company location. Siemens Healthineers is not responsible for any fees related to unsolicited resumes.


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