Mathematical Modeling, Optimization & Scheduling

Precise modeling, optimal operations

زِيج — نمذجة دقيقة، وتشغيل أمثل

Building mathematical models for complex operating decisions, solving them with integer programming and approximation algorithms, and turning them into tools the operations team uses every day.

Services

Each service lists practical applications, by the kind of work it is carried out in. Services are taken singly, or combined into one scope, depending on the size of the case.

01

Operating-decision modeling

Linear and integer programming to select the optimal alternative within real resource constraints.

Practical applications

  • Optimal production mix under capacity constraints
  • Allocating resources across tasks and sites
  • Project portfolio selection under a budget constraint
  • Cutting, packing and loading problems
  • Allocating budget across competing alternatives
02

Production and operations scheduling

Scheduling for process facilities, from direct experience — the subject of the doctoral dissertation.

Practical applications

  • Batch scheduling and changeover-time reduction
  • Aligning production with maintenance windows
  • Work-order scheduling and sequencing
  • Shutdown and turnaround scheduling
  • Rescheduling after unplanned breakdown
03

Resource and shift scheduling

Medical staff, operations and maintenance, committees and examinations.

Practical applications

  • Medical and nursing staff rosters
  • Operations, maintenance and security shifts
  • Scheduling invigilators, committees and examinations
  • Assigning field crews to sites
  • Accounting for leave, rest periods and localization quotas
04

Tournament and event scheduling

Integer programming models for league seasons and competitions.

Practical applications

  • Scheduling a double round-robin league season
  • Venue, broadcast and travel constraints
  • Balancing fixtures across teams and rounds
  • Scheduling a short tournament or group stage
  • Rescheduling after postponed fixtures
05

Supply chain network design

Warehouse locations, demand allocation, distribution routes, inventory levels.

Practical applications

  • Determining warehouse locations and how many are needed
  • Allocating demand across distribution centers
  • Designing transport and distribution routes
  • Inventory policies and safety stock levels
  • Cold-chain and pharmaceutical networks
06

Simulation and bottleneck analysis

Testing the decision before it is implemented, and identifying the constraint that governs throughput.

Practical applications

  • Queue simulation at service points
  • Measuring the true capacity of a production line
  • Simulating visitor and patient flow
  • Truck movement at gates and weighbridges
  • Testing a scenario before changing operations
07

Decision support systems

Turning the model into an operating tool with a user interface.

Practical applications

  • A scheduling tool the planner uses weekly
  • A dashboard comparing decision scenarios
  • A capacity and demand calculator for management
  • Connecting the model to existing system data
  • Documenting assumptions and the model's limits of validity

Tools: Cplex · AMPL · R · SPSS · Minitab · SQL

The optimal solution by computation, not by estimate.
Zij — Mathematical Modeling, Optimization & Scheduling

Method

A

Formulation

Turning the operating problem into a mathematical model with real constraints, not idealized ones.

B

Solution

Integer programming where it works, approximation algorithms where it does not.

C

Delivery

A tool that runs inside the organization, with its assumptions and limits documented.

Why this practice

Academic depth, field application

Modeling here is the discipline itself, backed by a doctoral dissertation and peer-reviewed publication.

A scarce specialization

Very few people build applied optimization and scheduling models in the Saudi market.

Stated limits

When modeling is not the right tool, that is said plainly.

About

Dr. Naif bin Ghazi AlMuhawas
Dr. Naif bin Ghazi AlMuhawas
Dr. Naif bin Ghazi AlMuhawas
Operations Research & Modeling Consultant

Assistant Professor of Operations Research and Supply Chain Management at the College of Business Administration, University of Ha'il, holding a doctorate in industrial engineering from Lamar University on the planning and optimization of petroleum refinery scheduling.

A zij is a computational table drawn up by Arab astronomers to predict positions in time — which is precisely what modeling and scheduling do.

Academic qualifications

  • Doctor of Engineering — Planning and optimization of petroleum refinery scheduling — Industrial Engineering · Lamar University (2014)
  • Master of Engineering Management — Lamar University, USA (2013)
  • BSc Electrical Engineering — King Fahd University of Petroleum and Minerals (2004)

Relevant credentials

  • Consultant Engineer — Saudi Council of Engineers, Consultant classification (8771)
  • Modeling and analysis tools: Cplex · AMPL · R · SPSS · Minitab · SQL
  • Lean Manufacturing Green Belt · Associate Value Specialist (ASV)
  • Memberships: SAVE International · IEEE · Phi Kappa Phi · Alpha Pi Mu

Relevant experience

  • Business consultant — Supply chains, operations and strategic planning, across the public, private and non-profit sectors
  • Doctoral dissertation — Planning and optimization of petroleum refinery scheduling: applied modeling and scheduling for a process facility
  • Assistant Professor of Operations Research and Supply Chain Management — University of Ha'il (since 2016): linear programming, scheduling and simulation models applied to real cases
  • Head, Department of Statistics — College of Business Administration, University of Ha'il (2023–2026)
  • Supervision of research projects — Supply chain optimization and non-profit sector operations
  • Peer-reviewed publication — On institutional performance and quantitative methods

Let's start with your question

Dr. Naif bin Ghazi AlMuhawas
+966 50 516 8423
info@zijmodeling.com
Serving clients wherever they are

An independent professional practice operating under a Saudi freelance work certificate, eligible to contract with government entities under the Government Tenders and Procurement Law.