A note on A New Approach for the Selection of Advanced Manufacturing Technologies: Data Envelopment Analysis with Double Frontiers

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1 A te A New Appach f the Select f Advaced Mafactg Techlge: Data Evelpet Aal wth Dble Fte He Azz Depatet f Appled Matheatc Paabad Mgha Bach Ilac Azad Uvet Paabad Mgha Ia hazz@apga.ac. Recetl g the data evelpet aal (DEA) wth dble fte appach Wag ad Ch (2009) pped a ew appach f the elect f advaced afactg techlge: DEA wth dble fte ad a ew eae f the elect f the bet advaced afactg techlge (AMT). I th te we hw that the pped veall peface eae f the elect f the bet AMT ha a addtal cptatal bde. Meve we ppe a ew eae f develpg a cplete akg f AMT. Necal exaple ae exaed g the pped eae t hw t plct ad efle the AMT elect ad tfcat. Kewd: Data evelpet aal; Advaced afactg techlg; Opttc ad petc effcece. 1. Itdct Select f advaced afactg techlge (AMT) a ptat decakg pce f the explaat ad pleetat f AMT. Th eqe caefl cdeat f va peface ctea (Wag & Ch 2009). A a excellet ethd f peface evalat baed data whe a et f dec-akg t (DMU) ha ltple pt ad tpt data evelpet aal (DEA) ha pve t vale. Theefe the DEA ha bee wdel ed f AMT elect ad tfcat. F bet e f the DEA Wag ad Ch (2009) tdced a ew DEA ethd called DEA wth dble fte f AMT elect ad tfcat. The DEA wth dble fte cde tw dffeet effcece.e. pttc ad petc effcece f dec-akg. I th te we hw that the veall peface eae pped b Wag ad Ch (2009) f electg the bet AMT ha a addtal cptatal bde ad a affect the akg elt. Fall we ppe a ew eae t develp a cplete akg f AMT. The eade f the pape gazed a fllw: Sect 2 tat wth a vevew the eae pped b Wag ad Ch (2009). The t ppe a ew veall peface eae f akg AMT. Necal exaple ad ccl ae peeted ect 3 ad 4 epectvel. Pak..tat.pe.e. Vl.XI N pp

2 He Azz 2. DEA wth dble fte 2.1. Revew Wag ad Ch (2009) wk Ae that thee ae AMT f elect that t be evalated te f pt ad tpt. F AMT ( 1 ) we hw pt vale wth x ( 1 ) ad tpt vale wth ( 1 ) all f whch ae kw ad -egatve. The pttc effcec f AMT cpaed t the AMT eaed wth the fllwg CCR del (Chae et al. 1978): ax.t. 1 v ; 1 1. whee AMT the AMT de evalat ad ( 1 ae dec vaable. If thee a et f ptve weght (1) ) ad v ( 1 ) ( 1 ) ad ( 1 ) t ppl 1 the AMT called pttc effcet; thewe t called pttc -effcet. I addt the petc effcec f AMT cpaed t the AMT ca be eaed wth the fllwg del (Azz & Wag 2013; L & Che 2009; Wag et al. 2007):.t. 1 v ; 1 1. Whe thee a et f ptve weght ( 1 ) ad v ( 1 ) t ppl 1 the AMT called petc effcet; thewe t called petc -effcet. Opttc ad petc effcece ae eaed f dffeet pepectve ad fte lead t tw dffeet akg f AMT. Theefe a veall peface eae eeded t bta a gle veall akg f AMT. T th ed Wag ad Ch (2009) pped the fllwg veall peface eae f akg AMT: whee ad 1 1 ae the pttc ad petc effcece f AMT epectvel. (2) v 260 Pak..tat.pe.e. Vl.XI N pp

3 A te A New Appach f the Select f Advaced Mafactg Techlge: Data Evelpet. Meae ha a addtal cptatal bde becae f we ae the vect ( ) 1 ad ( ) 1 ae the vect f pttc ad petc effcece epectvel ad the vect ( 1 ) ad ( 1 ) ae the alzed vect f pttc ad petc effcece baed the Ecldea epectvel the we have: (4) It clea that the veall peface eae defed the f eleet f the alzed vect f the tw vect deved f pttc ad petc effcece. Sce the alzat f effcec vect ha effect the akg f AMT the fllwg eae ca al be ed f akg AMT: x 1 (5) Meae (5) a pvde e cect elt cpaed wth eae becae eae clde a dg e New veall peface eae I Wag et al. (2007) the geetc aveage f tw effcece wa pped a the veall peface eae. The geetc aveage effcec tegate bth pttc ad petc effcec eae f each DMU t e cpeheve tha ethe f thee tw eae. I Wag ad Ch (2009) a ee the athetc aveage f bth pttc ad petc effcece wa pped a a veall peface eae. Sce eae twce the athetc aveage f the alzed effcece ad the akg exactl the ae thee dffeet ea (.e. geetc aveage athetc aveage ad qadatc ea) ca be ed f akg DMU a fllw: G 1 (6) A Q (7) (8) Pak..tat.pe.e. Vl.XI N pp

4 He Azz The elathp betwee thee ea a fllw: G A Q 1 (9) Geeall whe pttc ad petc effcece ae lage the DMU evalated bette. Th accdg t eqat (9) e ca e the qadatc ea a the veall peface eae f akg DMU. Sce the vale 1 / 2 de t affect the akg f DMU we cde the fllwg eae a the ew veall peface eae f each DMU: Q Necal Exaple I th ect we exae f ecal exaple peeted Wag ad Ch (2009) wth eae. Cpa wth the elt f Wag ad Ch (2009) al peeted wheeve pble. F pt ad tpt data elated t all the table peeted Wag ad Ch (2009) we DEA del (1) ad (2) f each AMT t bta pttc ad petc effcece. The elt ae hw Table 1-4. Addtall the veall peface f each AMT eaed b eae ad ad the akg hw Table 1-4. Table 1: Evalat f the 12 FMS b DEA wth dble fte FMS Opttc effcec Petc effcec Meae Rakg baed eae Meae Rakg baed eae The AMT akg elt baed the vale btaed f eae ad epted Table 1 ad 2 hw that the ak ae detcal. Bt the akg elt btaed Table 3 ad 4 ae t detcal. I Table 3 the akg f AMT ad 21 btaed accdg t eae ad t the ae. Cde f exaple AMT 8 ad 10. If we ak the b eae (5) ( x ad x ) the akg wtched. Oe f t ea the hgh cptatal 262 Pak..tat.pe.e. Vl.XI N pp

5 A te A New Appach f the Select f Advaced Mafactg Techlge: Data Evelpet. bde f eae ad a dg e. It clea that eae e effcet ad ca ave a lt f calclat cpaed wth eae. A la pble ext Table 4. The akg baed eae ad ha chaged the elt f 26 AMT. That e tha 55% f AMT ae aked wgl. We have hw the bld ft. Th the bgget advatage f eae ve eae f AMT elect ad tfcat. Table 2: Evalat f the 12 dtal bt b DEA wth dble fte Rbt Opttc effcec Petc effcec Meae Rakg baed eae Meae Table 3: Evalat 21 the CNC lathe b DEA wth dble fte Rakg baed eae CNC lathe Opttc effcec Petc effcec Meae Rakg baed eae Meae Rakg baed eae Pak..tat.pe.e. Vl.XI N pp

6 He Azz Table 4: Evalat f the 47 alteatve ache cpet gpg lt b DEA wth dble fte Lat (DMU) Opttc effcec Petc effcec Meae Rakg baed eae Meae Rakg baed eae Pak..tat.pe.e. Vl.XI N pp

7 A te A New Appach f the Select f Advaced Mafactg Techlge: Data Evelpet. 4. Ccl I th te we pt t cptatal e the pape b Wag ad Ch (2009). We hwed that the pped eae f akg AMT ca be pbleatc. T vece thee pble we pped athe eae f akg AMT. Necal exaple hw that the pped eae ca ak all AMT cectl. The pped eae expected t pla a ptat le AMT elect ad tfcat ad t have e applcat the fte. Refeece 1. Azz H. & Wag Y.-M. (2013). Ipved DEA del f eag teval effcece f dec-akg t. Meaeet Chae A. Cpe W.W. & Rhde E. (1978). Meag the effcec f dec akg t. Epea Jal f Opeatal Reeach 2(6) L F.-H.F. & Che C.L. (2009). The wt-pactce DEA del wth lackbaed eaeet. Cpte & Idtal Egeeg 57(2) Wag Y.-M. & Ch K.-S. (2009). A ew appach f the elect f advaced afactg techlge: DEA wth dble fte. Iteatal Jal f Pdct Reeach 47(23) Wag Y.-M. Ch K.-S. & Yag J.-B. (2007). Meag the peface f dec-akg t g geetc aveage effcec. Jal f the Opeatal Reeach Scet 58(7) Pak..tat.pe.e. Vl.XI N pp