in this paper, the staff assignment problem considering cross-training of caregivers in health care systems is addressed to determine which staff should be cross-trained for each service and how they should be assigned to services. a bi-objective non-linear mathematical programming model is presented where the first objective function aims to minimize workload balancing, cross-training as well ...

Due to the adverse impact of seaborne sulfur emissions on coastal areas, Ministry Transport People’s Republic China is planning implement a 0.1% cap bunker fuel in domestic emission control area (DECA) 1 January 2025. As current DECA width only 12 NM, ships can bypass reduce use high-priced ultra-low oil (ULSFO) and thus save costs. The purpose this study first assess effect China’s 12-NM-wide ...

Abstract As a flexible unit that can respond quickly, CSP stations be included in the planned power source of supply planning, which effectively improve consumption volatile new energy and resource utilization. This paper mainly studies optimal planning grids containing fluctuating sources proposes joint based on bi-level programming model. The results calculation examples show proposed model c...

in this study, a bi-objective model for integrated planning of production-distribution in a multi-level supply chain network with multiple product types and multi time periods is presented. the supply chain network including manufacturers, distribution centers, retailers and final customers is proposed. the proposed model minimizes the total supply chain costs and transforming time of products ...

Bi-level programming techniques are developed to handle decentralized problems with two-level decision makers, leaders and followers, who may have more than one objective to achieve. This paper proposes a λ-cut and goal programming based algorithm to solve fuzzy linear multiple objective bi-level (FLMOB) decision problems. First, based on the definition of a distance measure between two fuzzy v...

An integrated optimization framework, including location assignment under grouping class-based storage policy and schedule of dual shuttle cranes, is offered by presenting a new optimization programming model. The objective functions, which are considered at this level, are the minimization of total costs and energy consumption. Scheduling of dual shuttle cranes among specified locations, which...

This paper proposes a kind of bi-level linear programming problem, in which there are two decision makers in a hierarchy and they have a common variable. To deal with this bi-level problem, we introduce a virtual decision maker, who controls the common variable to maximize the sum of the objective functions of the upper and lower level decision maker (the leader and follower). To illustrate the...