Facility location constraints

The capacity and facilities location constraints are presented in the following. Two different variables are defined, which represent the... 

Problem formulations [ 1-3 ] for designing lead-generation library under different constraints belong to a class of combinatorial resource allocation problems, which have been widely studied. They arise in many different applications such as minimum distortion problems in data compression (11), facility location problems (12), optimal quadrature rules and discretization of partial differential equations (13), locational optimization problems in control theory (9), pattern recognition (14), and neural networks... 

Abstract Transportation and facility location decisions are crucial in strategic supply chain design. Optimization models guide location decisions giving the optimal site selection under certain assumptions and constraints. It is an art to decide which model to use and how to modify the results based on the needs of a company. This chapter presents some of the important optimization models in supply chain. Mathematical formulations and solution procedures are also given. The models can be expanded for multi-echelon supply chains and/or include multiple products. 

This constraint is similar to constraints often used in traditional facility location models assigning each demand point exclusively to a single facility. In order to avoid nonlinearity, multiplication XjXj is replaced by the following constraints ... 

Europa Terminal, a facility of 72 ha (178 acres) in the port of Antwerp, is managed by the terminal operator PSA and is only one of the seven major container terminal complexes within the port. It is a good example of the modal separation in space that characterizes modern container terminals and the large handhold required for various container terminal operations (Eig. 49.3). While terminal space reserved for rail and truck operations are directly adjacent to the buffer (container storage) of deep sea services, locational constraints have placed the barge terminal in a nearby location behind the locks linking the port s basin (upper part) to the river Scheldt (lower part). 

The most reliable way of generating production profiles, and investigating the sensitivity to well location, perforation interval, surface facilities constraints, etc., is through reservoir simulation. 

An example of a typical variance would be the case where a facility is installing a new piece of equipment, such as a pump. The company standards may call for the pump to be located at a certain minimum distance away from other equipment. However, due to real estate limitations, this spacing constraint cannot be met. In this situation, the manager may permit a variance to be taken (the pump can be located close to other equipment)— but may then require that additional gas detectors be installed in the area so that a leak at the new location is picked up right away. 

Pirkul and Jayaraman (1998) successfully applied the Lagrangian relaxation problem for the supply chain configuration problem. Similar results have been obtained by Jang et al. (2002) and Amiri (2006). The supply chain configuration model by Pirkul and Jayaraman (1998) locates a specified number of manufacturing facilities and warehouses to minimize fixed and transformation costs subject to customer demand satisfaction and capacity constraints. 

Telecommunication systems use a hub and spoke network to provide for the movement of electronic data (Campbell and O Kelly 2012). The links are either wired (cables) or wireless. Transmission cost does not increase much with distance traveled. Facilities such as switches, routers, and concentrators are located at the hub to enable communication among a set of nodes, analogous to depots. In relation to a transportation network, the operations, costs, service measures, and constraints are often quite different in a telecom hub network because of the differing natures of objects - freight or passengers versus electronic signals in packets . 

In some cases, companies want to design supply chain networks in which a market is supplied from only one factory, referred to as a single source. Companies may impose this constraint because it lowers the complexity of coordinating the network and requires less flexibility from each facility. The plant location model discussed earlier needs some modification to accommodate this constraint. The decision variables are redefined as follows ... 

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