Compromise Programming

Compromise programming is similar in concept to the method of global criterion. It finds an efficient solution by minimizing the weighted ly distance metric from the ideal point as follows  

Any point x that minimizes (Equation 2.25) for A, 0 for all i, X Aj = 1, and 1 p oo is called a compromise solution. Zeleny (1982) has proved that these compromise solutions are non-dominated. As p Equation 2.25 becomes 

---

R.J. Li, E.S. Lee, Fuzzy multiple objective programming and compromise programming with Pareto optimum, Fuzzy Sets and Systems 53 (1993) 275-288. 

Lee, E. S., and Li, R. J. (1993), Fuzzy Multiple Objective Programming and Compromise Programming with Pareto Optimum, Fuzzy Sets and Systems, Vol. 53, pp. 275-288. 

Besides goal programming, there are other approaches to solve the multicriteria optimization model for the supplier selection problem formulated in Section 6.4.2. They include weighted objective method, compromise programming, and interactive approaches. Interested readers can refer to Wadhwa and Ravindran (2007), Masudand Ravindran (2008, 2009) for more details. Masudand Ravindran (2008, 2009) also provide information on the computer software available for the MCDM methods. 

Method of global criterion (Hwang and Masud, 1979) and compromise programming (Zeleny, 1982) fall under the class of MCMP methods that do not require any preference information from the DM. 

In the following sections, we will discuss the MCMP methods—goal programming, compromise programming, and interactive methods, as examples of Category 1,2, and 3 type approaches, respectively. 

Amin and Zhang (2013a) Minimize costs, minimize defect rates, maximize weights of selected facilities, maximize on-time delivery MILP, solved using compromise programming Strategic... 

There are many techniques for solving MOMP—compromise programming, the weighted average method, and global criterion and GP methods, to name a few. GP techniques are used in this chapter because they measure... 

If a molecule is strained, atoms may not be ver y close to the minimum of their individual potential energy wells when the best compromise geometry is reached. In such a case, the geometric criterion does not provide an exit from the loop. Programs are usually written so that they can automatically switch from a geometric minimization criterion to an energy minimization procedure. 

One of the first complete, continuous simulation models was the pesticide mnoff transport model (PRT) (56). Improvements in the PRT modelled to the hydrologic simulation program—FORTRAN model (57). A number of other models have been developed (58,59). These models represent a compromise between the avadable data and the abiHty to encompass a wide range in soils, climates, and pesticides. These models have had mixed success when extended beyond the data with which they were caHbrated. No model has yet been developed that can be proven to give accurate predictions of... 

Performance. Consumer acceptance is a criterion on which cosmetic marketers caimot compromise. Whereas the likes and dislikes of consumers are in a state of constant flux, some product features are critical. A deodorant that does not deodorize or a hair coloring that fades in sunlight is unacceptable. Performance is tested by in vitro techniques during formulation, but the ultimate test of a product s performance requires in-use experience with consumers and critical assessment by trained observers. Performance tests can sometimes be combined with in-use safety tests, and protocols for such programs have been developed. 

Equipment used to process, store, or handle highly hazardous chemicals must be designed constructed, installed and maintained to minimize the risk of release. A systematic, scheduled, test and maintenance program is preferred over "breakdown" maintenance " that could compromise safety. Elements of a mechanical integrity program include 1) identification and categorization of equipment and instrumentation, 2) documentation of manufacturer data on mean time to failure, 3 ) test and inspection frequencies, 4) maintenance procedures, 5) training of maintenance personnel, 6) test criteria, and 7) documentation of test and inspection results. 

The change management process ensures that modifications are thoroughly reviewed to prevent new risks being introduced or the management processes, programs or elements being compromised in any way. 

Where inhibitor chemical treatments are employed, they may be added daily by hand (shot-dosed, shock dosed) without any regard to product compatibility, FW needs, or fluctuations in boiler loading during the working day. The effectiveness of the program is therefore compromised under these conditions. 

---