Karmel S. Shehadeh

A Distributionally Robust Optimization Approach for Stochastic Elective Surgery Scheduling with Limited Intensive Care Unit Capacity

Categories (Mixed) Integer Linear Programming, Scheduling, Stochastic Programming Tags , , , , ,

In this paper, we study the decision process of assigning elective surgery patients to available surgical blocks in multiple operating rooms (OR) under random surgery durations, random postoperative length-of-stay in the intensive care unit (ICU), and limited capacity of ICU. The probability distributions of random parameters are assumed to be ambiguous, and only the mean … Read more

Distributionally Robust Optimization Approaches for a Stochastic Mobile Facility Routing and Scheduling Problem

Categories (Mixed) Integer Linear Programming, Facility Planning and Design, Robust Optimization Tags , , , ,

We study a mobile facility (MF) routing and scheduling problem in which probability distributions of the time-dependent demand for MF services is unknown. To address distributional ambiguity, we propose and analyze two distributionally robust MF routing and scheduling (DMFRS) models that seek to minimize the fixed cost of establishing the MF fleet and maximum expected … Read more

Analysis of Models for the Stochastic Outpatient Procedure Scheduling Problem

Categories (Mixed) Integer Linear Programming, Scheduling, Stochastic Programming Tags , , , ,

In this paper, we present a new stochastic mixed-integer linear programming model for the Stochastic Outpatient Procedure Scheduling Problem (SOPSP). In this problem, we schedule a day’s worth of procedures for a single provider, where each procedure has a known type and associated probability distribution of random duration. Our objective is to minimize the expectation … Read more