LEADER 02834nam 2200493 450 001 996466551403316 005 20210312134500.0 010 $a3-030-61821-8 024 7 $a10.1007/978-3-030-61821-6 035 $a(CKB)4100000011728409 035 $a(DE-He213)978-3-030-61821-6 035 $a(MiAaPQ)EBC6461891 035 $a(PPN)253254256 035 $a(EXLCZ)994100000011728409 100 $a20210312d2021 uy 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aAdvancing parametric optimization $eon multiparametric linear complementarity problems with parameters in general locations /$fNathan Adelgren 205 $a1st ed. 2021. 210 1$aCham, Switzerland :$cSpringer,$d[2021] 210 4$dİ2021 215 $a1 online resource (XII, 113 p. 8 illus., 7 illus. in color.) 225 1 $aSpringerBriefs in Optimization,$x2190-8354 311 $a3-030-61820-X 320 $aIncludes bibliographical references. 327 $a1. Introduction -- 2. Background on mpLCP -- 3. Algebraic Properties of Invariancy Regions -- 4. Phase 2: Partitioning the Parameter Space -- 5. Phase 1: Determining an Initial Feasible Solution -- 6. Further Considerations -- 7. Assessment of Performance -- 8. Conclusion -- Appendix A. Tableaux for Example 2.1 -- Appendix B. Tableaux for Example 2.2 -- References. 330 $aThe theory presented in this work merges many concepts from mathematical optimization and real algebraic geometry. When unknown or uncertain data in an optimization problem is replaced with parameters, one obtains a multi-parametric optimization problem whose optimal solution comes in the form of a function of the parameters.The theory and methodology presented in this work allows one to solve both Linear Programs and convex Quadratic Programs containing parameters in any location within the problem data as well as multi-objective optimization problems with any number of convex quadratic or linear objectives and linear constraints. Applications of these classes of problems are extremely widespread, ranging from business and economics to chemical and environmental engineering. Prior to this work, no solution procedure existed for these general classes of problems except for the recently proposed algorithms. 410 0$aSpringerBriefs in Optimization,$x2190-8354 606 $aMathematical optimization 606 $aGeometry, Algebraic 615 0$aMathematical optimization. 615 0$aGeometry, Algebraic. 676 $a016.5192 700 $aAdelgren$b Nathan$01221184 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a996466551403316 996 $aAdvancing parametric optimization$92831544 997 $aUNISA LEADER 02899nam 2200421 450 001 996279749003316 005 20231205193018.0 010 $a0-7381-0445-0 035 $a(CKB)1000000000035808 035 $a(NjHacI)991000000000035808 035 $a(EXLCZ)991000000000035808 100 $a20231205d1998 uy 0 101 0 $aeng 135 $aur||||||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aANSI/IEEE Std 802.12, 1998 IEEE Standard for Information technology-- telecommunications and information exchange between systems-- local and metropolitan area networks-- specific requirements-- : part 12 $edemand-priority access method, physical layer and repeater specifications /$fInstitute of Electrical and Electronics Engineers 205 $aFirst edition. 210 1$aNew York, N.Y. :$cIEEE,$d1998. 215 $a1 online resource (xix, 429 pages) $cillustrations 311 $a0-7381-1487-1 320 $aIncludes bibliographical references. 330 $aThe media access control characteristics for the demand-priority access method are specified. The layer management, physical layers, and media that support this access method are also specified. Layer and sublayer interface specifications are aligned to the ISO Open Systems Interconnection Basic Reference Model and ISO/IEC 8802 models. Specifications for 100 Mb/s operation over 100 /spl Omaga/ balanced cable (twisted-pair) Categories 3 through 5, 150 /spl Omaga/ shielded balanced cable, and fibre-optic media are included. Optional implementation of redundant links to facilitate automatic recovery of network connectivity in case of link or repeater failure anywhere in the network path is specified. Rules for connecting redundant links within a network are defined. 517 $a802.12-1998 - IEEE Standard for Information Technology- Telecommunications and Information Exchange Between Systems- Local and Metropolitan Area Networks- Specific Requirements Part 12 517 $aANSI/IEEE Std 802.12, 1998 Edition (Incorporating ANSI/IEEE Stds 802.122-1995 and ANSI/IEEE Std 802.12d-1997): IEEE Standard for Information Technology- Telecommunications and Information Exchange Between Systems- Local and Metropolitan Area Networks- Sp 517 $aANSI/IEEE Std 802.12, 1998 Edition 517 $aIEEE Standard for Information Technology- Telecommunications and Information Exchange Between Systems- Local and Metropolitan Area Networks- Specific Requirements Part 12 531 $aANSI/IEEE STD 802.12, 1998 EDITION (INCORPORATING ANSI/IEEE STDS 802.122-1995 & ANSI/IEEE STD 802.12D-1997) 606 $aComputer network protocols 615 0$aComputer network protocols. 676 $a004.62 801 0$bNjHacI 801 1$bNjHacl 906 $aDOCUMENT 912 $a996279749003316 996 $aANSI$92072434 997 $aUNISA