Z-table 0,5 0,5 p = 2,28E-02 = 2,28% So approx 2% of the order acknowledgement will be beyond 4 days (consequently 98% will be with in the 4 days). Was this according to the contract? s x p Normalizing the process"> Z-table 0,5 0,5 p = 2,28E-02 = 2,28% So approx 2% of the order acknowledgement will be beyond 4 days (consequently 98% will be with in the 4 days). Was this according to the contract? s x p Normalizing the process">
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Slide title minimum 32 pt (32 pt makes 2 rows Text and bullet level 1 minimum 24 pt Bullets level 2-5 minimum 20 pt !"#$%&'()*+,-./0123456789:; ?@ABCDEFGHIJKLMNOPQRST UVWXYZ[\]^_`abcdefghijklmnopqrstuvwxy z{|}~¡¢£¤¥¦§¨©ª«¬®¯°±²³´¶·¸¹º»¼½ÀÁÂÃÄÅÆÇÈËÌÍ ÎÏÐÑÒÓÔÕÖ×ØÙÚÛÜÝÞßàáâãäåæçèéêëìíîïðñ òóôõö÷øùúûüýþÿĀāĂăąĆćĊċČĎďĐđĒĖėĘęĚ ěĞğĠġĢģĪīĮįİıĶķĹĺĻļĽľŁłŃńŅņŇňŌŐőŒœŔŕŖŗ ŘřŚśŞşŠšŢţŤťŪūŮůŰűŲųŴŵŶŷŸŹźŻżŽžƒȘșˆˇ˘ ˙˚˛˜˝ẀẁẃẄẅỲỳ–—‘’‚“”„†‡…‰‹›⁄€™−≤≥fifl ĀĀĂĂĄĄĆĆĊĊČČĎĎĐĐĒĒĖĖĘĘĚĚĞĞĠĠĢĢĪĪĮĮİĶĶĹ ĹĻĻĽĽŃŃŅŅŇŇŌŌŐŐŔŔŖŖŘŘŚŚŞŞŢŢŤŤŪŪŮŮŰŰ ŲŲŴŴŶŶŹŹŻŻȘș ΆΈΉΊΌΎΏΐΑΒΓΕΖΗΘΙΚΛΜΝΞΟΠΡΣΤΥΦΧΨΪΫΆΈΉΊ ΰαβγδεζηθικλνξορςΣΤΥΦΧΨΩΪΫΌΎΏ ЁЂЃЄЅІЇЈЉЊЋЌЎЏАБВГДЕЖЗИЙКЛМНОПРСТУФХ ЦЧШЩЪЫЬЭЮЯАБВГДЕЖЗИЙКЛМНОПРСТУФХЦ ЧШЩЪЫЬЭЮЯЁЂЃЄЅІЇЈЉЊЋЌЎЏ ѢѢѲѲѴѴ ҐҐәǽ Ẁ ẁẂẃẄẅỲỳ № Do not add objects or text in the footer area Commercial in confidence | © Ericsson AB 2010 | 2010-04-13 | Page 2 The time for an order acknowledgement is in average 3 days for a certain product. The predictability is at 0,5 days one standard deviation. In a customer contract it is required a: Order acknowledgement within 4 days Does this request any immediate improvement activity of the order acknowledge process? Normalizing the process
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Slide title minimum 32 pt (32 pt makes 2 rows Text and bullet level 1 minimum 24 pt Bullets level 2-5 minimum 20 pt !"#$%&'()*+,-./0123456789:; ?@ABCDEFGHIJKLMNOPQRST UVWXYZ[\]^_`abcdefghijklmnopqrstuvwxy z{|}~¡¢£¤¥¦§¨©ª«¬®¯°±²³´¶·¸¹º»¼½ÀÁÂÃÄÅÆÇÈËÌÍ ÎÏÐÑÒÓÔÕÖ×ØÙÚÛÜÝÞßàáâãäåæçèéêëìíîïðñ òóôõö÷øùúûüýþÿĀāĂăąĆćĊċČĎďĐđĒĖėĘęĚ ěĞğĠġĢģĪīĮįİıĶķĹĺĻļĽľŁłŃńŅņŇňŌŐőŒœŔŕŖŗ ŘřŚśŞşŠšŢţŤťŪūŮůŰűŲųŴŵŶŷŸŹźŻżŽžƒȘșˆˇ˘ ˙˚˛˜˝ẀẁẃẄẅỲỳ–—‘’‚“”„†‡…‰‹›⁄€™−≤≥fifl ĀĀĂĂĄĄĆĆĊĊČČĎĎĐĐĒĒĖĖĘĘĚĚĞĞĠĠĢĢĪĪĮĮİĶĶĹ ĹĻĻĽĽŃŃŅŅŇŇŌŌŐŐŔŔŖŖŘŘŚŚŞŞŢŢŤŤŪŪŮŮŰŰ ŲŲŴŴŶŶŹŹŻŻȘș ΆΈΉΊΌΎΏΐΑΒΓΕΖΗΘΙΚΛΜΝΞΟΠΡΣΤΥΦΧΨΪΫΆΈΉΊ ΰαβγδεζηθικλνξορςΣΤΥΦΧΨΩΪΫΌΎΏ ЁЂЃЄЅІЇЈЉЊЋЌЎЏАБВГДЕЖЗИЙКЛМНОПРСТУФХ ЦЧШЩЪЫЬЭЮЯАБВГДЕЖЗИЙКЛМНОПРСТУФХЦ ЧШЩЪЫЬЭЮЯЁЂЃЄЅІЇЈЉЊЋЌЎЏ ѢѢѲѲѴѴ ҐҐәǽ Ẁ ẁẂẃẄẅỲỳ № Do not add objects or text in the footer area Commercial in confidence | © Ericsson AB 2010 | 2010-04-13 | Page 3 Average, = 3 days. Standard deviation, s = 0,5 days. Order acknowledgement, USL = 4 days. Z = x c - x m s x Z = 4 - 3 = 1 = 2 => Z-table 0,5 0,5 p = 2,28E-02 = 2,28% So approx 2% of the order acknowledgement will be beyond 4 days (consequently 98% will be with in the 4 days). Was this according to the contract? 1 2 3 4 5 s x p Normalizing the process
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Slide title minimum 32 pt (32 pt makes 2 rows Text and bullet level 1 minimum 24 pt Bullets level 2-5 minimum 20 pt !"#$%&'()*+,-./0123456789:; ?@ABCDEFGHIJKLMNOPQRST UVWXYZ[\]^_`abcdefghijklmnopqrstuvwxy z{|}~¡¢£¤¥¦§¨©ª«¬®¯°±²³´¶·¸¹º»¼½ÀÁÂÃÄÅÆÇÈËÌÍ ÎÏÐÑÒÓÔÕÖ×ØÙÚÛÜÝÞßàáâãäåæçèéêëìíîïðñ òóôõö÷øùúûüýþÿĀāĂăąĆćĊċČĎďĐđĒĖėĘęĚ ěĞğĠġĢģĪīĮįİıĶķĹĺĻļĽľŁłŃńŅņŇňŌŐőŒœŔŕŖŗ ŘřŚśŞşŠšŢţŤťŪūŮůŰűŲųŴŵŶŷŸŹźŻżŽžƒȘșˆˇ˘ ˙˚˛˜˝ẀẁẃẄẅỲỳ–—‘’‚“”„†‡…‰‹›⁄€™−≤≥fifl ĀĀĂĂĄĄĆĆĊĊČČĎĎĐĐĒĒĖĖĘĘĚĚĞĞĠĠĢĢĪĪĮĮİĶĶĹ ĹĻĻĽĽŃŃŅŅŇŇŌŌŐŐŔŔŖŖŘŘŚŚŞŞŢŢŤŤŪŪŮŮŰŰ ŲŲŴŴŶŶŹŹŻŻȘș ΆΈΉΊΌΎΏΐΑΒΓΕΖΗΘΙΚΛΜΝΞΟΠΡΣΤΥΦΧΨΪΫΆΈΉΊ ΰαβγδεζηθικλνξορςΣΤΥΦΧΨΩΪΫΌΎΏ ЁЂЃЄЅІЇЈЉЊЋЌЎЏАБВГДЕЖЗИЙКЛМНОПРСТУФХ ЦЧШЩЪЫЬЭЮЯАБВГДЕЖЗИЙКЛМНОПРСТУФХЦ ЧШЩЪЫЬЭЮЯЁЂЃЄЅІЇЈЉЊЋЌЎЏ ѢѢѲѲѴѴ ҐҐәǽ Ẁ ẁẂẃẄẅỲỳ № Do not add objects or text in the footer area Commercial in confidence | © Ericsson AB 2010 | 2010-04-13 | Page 4 Securing deliveries The product from a particular supplier has been late in 5 of 20 occasions. You have now a very important delivery to make. You want to assure 99% delivery accuracy. How big safety margin should you apply to your supply organization? Std=5 days
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Slide title minimum 32 pt (32 pt makes 2 rows Text and bullet level 1 minimum 24 pt Bullets level 2-5 minimum 20 pt !"#$%&'()*+,-./0123456789:; ?@ABCDEFGHIJKLMNOPQRST UVWXYZ[\]^_`abcdefghijklmnopqrstuvwxy z{|}~¡¢£¤¥¦§¨©ª«¬®¯°±²³´¶·¸¹º»¼½ÀÁÂÃÄÅÆÇÈËÌÍ ÎÏÐÑÒÓÔÕÖ×ØÙÚÛÜÝÞßàáâãäåæçèéêëìíîïðñ òóôõö÷øùúûüýþÿĀāĂăąĆćĊċČĎďĐđĒĖėĘęĚ ěĞğĠġĢģĪīĮįİıĶķĹĺĻļĽľŁłŃńŅņŇňŌŐőŒœŔŕŖŗ ŘřŚśŞşŠšŢţŤťŪūŮůŰűŲųŴŵŶŷŸŹźŻżŽžƒȘșˆˇ˘ ˙˚˛˜˝ẀẁẃẄẅỲỳ–—‘’‚“”„†‡…‰‹›⁄€™−≤≥fifl ĀĀĂĂĄĄĆĆĊĊČČĎĎĐĐĒĒĖĖĘĘĚĚĞĞĠĠĢĢĪĪĮĮİĶĶĹ ĹĻĻĽĽŃŃŅŅŇŇŌŌŐŐŔŔŖŖŘŘŚŚŞŞŢŢŤŤŪŪŮŮŰŰ ŲŲŴŴŶŶŹŹŻŻȘș ΆΈΉΊΌΎΏΐΑΒΓΕΖΗΘΙΚΛΜΝΞΟΠΡΣΤΥΦΧΨΪΫΆΈΉΊ ΰαβγδεζηθικλνξορςΣΤΥΦΧΨΩΪΫΌΎΏ ЁЂЃЄЅІЇЈЉЊЋЌЎЏАБВГДЕЖЗИЙКЛМНОПРСТУФХ ЦЧШЩЪЫЬЭЮЯАБВГДЕЖЗИЙКЛМНОПРСТУФХЦ ЧШЩЪЫЬЭЮЯЁЂЃЄЅІЇЈЉЊЋЌЎЏ ѢѢѲѲѴѴ ҐҐәǽ Ẁ ẁẂẃẄẅỲỳ № Do not add objects or text in the footer area Commercial in confidence | © Ericsson AB 2010 | 2010-04-13 | Page 5 Securing deliveries You can see the Z-value as a safety margin, because it ’ s the distance the process is from the customer limit. 99% delivery accuracy => p = 1% S x = 5 days Z = x c - x m s x p = 1%Z = 2,32 2,32 = Safety marginSafety margin = 2,32 x 5 5 = 11,6 days
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Slide title minimum 32 pt (32 pt makes 2 rows Text and bullet level 1 minimum 24 pt Bullets level 2-5 minimum 20 pt !"#$%&'()*+,-./0123456789:; ?@ABCDEFGHIJKLMNOPQRST UVWXYZ[\]^_`abcdefghijklmnopqrstuvwxy z{|}~¡¢£¤¥¦§¨©ª«¬®¯°±²³´¶·¸¹º»¼½ÀÁÂÃÄÅÆÇÈËÌÍ ÎÏÐÑÒÓÔÕÖ×ØÙÚÛÜÝÞßàáâãäåæçèéêëìíîïðñ òóôõö÷øùúûüýþÿĀāĂăąĆćĊċČĎďĐđĒĖėĘęĚ ěĞğĠġĢģĪīĮįİıĶķĹĺĻļĽľŁłŃńŅņŇňŌŐőŒœŔŕŖŗ ŘřŚśŞşŠšŢţŤťŪūŮůŰűŲųŴŵŶŷŸŹźŻżŽžƒȘșˆˇ˘ ˙˚˛˜˝ẀẁẃẄẅỲỳ–—‘’‚“”„†‡…‰‹›⁄€™−≤≥fifl ĀĀĂĂĄĄĆĆĊĊČČĎĎĐĐĒĒĖĖĘĘĚĚĞĞĠĠĢĢĪĪĮĮİĶĶĹ ĹĻĻĽĽŃŃŅŅŇŇŌŌŐŐŔŔŖŖŘŘŚŚŞŞŢŢŤŤŪŪŮŮŰŰ ŲŲŴŴŶŶŹŹŻŻȘș ΆΈΉΊΌΎΏΐΑΒΓΕΖΗΘΙΚΛΜΝΞΟΠΡΣΤΥΦΧΨΪΫΆΈΉΊ ΰαβγδεζηθικλνξορςΣΤΥΦΧΨΩΪΫΌΎΏ ЁЂЃЄЅІЇЈЉЊЋЌЎЏАБВГДЕЖЗИЙКЛМНОПРСТУФХ ЦЧШЩЪЫЬЭЮЯАБВГДЕЖЗИЙКЛМНОПРСТУФХЦ ЧШЩЪЫЬЭЮЯЁЂЃЄЅІЇЈЉЊЋЌЎЏ ѢѢѲѲѴѴ ҐҐәǽ Ẁ ẁẂẃẄẅỲỳ № Do not add objects or text in the footer area Commercial in confidence | © Ericsson AB 2010 | 2010-04-13 | Page 6 Securing deliveries You can see the Z-value as a safety margin, because it ’ s the distance the process is from the customer limit. late in 5 of 20 occasions => p = 25% S x = 5 days Z = x c - x m s x p = 25%Z = 0,67 0,67 = Safety marginSafety margin = 0,67 x 5 5 = 3,35 days xmxm s x xcxc Z p
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Slide title minimum 32 pt (32 pt makes 2 rows Text and bullet level 1 minimum 24 pt Bullets level 2-5 minimum 20 pt !"#$%&'()*+,-./0123456789:; ?@ABCDEFGHIJKLMNOPQRST UVWXYZ[\]^_`abcdefghijklmnopqrstuvwxy z{|}~¡¢£¤¥¦§¨©ª«¬®¯°±²³´¶·¸¹º»¼½ÀÁÂÃÄÅÆÇÈËÌÍ ÎÏÐÑÒÓÔÕÖ×ØÙÚÛÜÝÞßàáâãäåæçèéêëìíîïðñ òóôõö÷øùúûüýþÿĀāĂăąĆćĊċČĎďĐđĒĖėĘęĚ ěĞğĠġĢģĪīĮįİıĶķĹĺĻļĽľŁłŃńŅņŇňŌŐőŒœŔŕŖŗ ŘřŚśŞşŠšŢţŤťŪūŮůŰűŲųŴŵŶŷŸŹźŻżŽžƒȘșˆˇ˘ ˙˚˛˜˝ẀẁẃẄẅỲỳ–—‘’‚“”„†‡…‰‹›⁄€™−≤≥fifl ĀĀĂĂĄĄĆĆĊĊČČĎĎĐĐĒĒĖĖĘĘĚĚĞĞĠĠĢĢĪĪĮĮİĶĶĹ ĹĻĻĽĽŃŃŅŅŇŇŌŌŐŐŔŔŖŖŘŘŚŚŞŞŢŢŤŤŪŪŮŮŰŰ ŲŲŴŴŶŶŹŹŻŻȘș ΆΈΉΊΌΎΏΐΑΒΓΕΖΗΘΙΚΛΜΝΞΟΠΡΣΤΥΦΧΨΪΫΆΈΉΊ ΰαβγδεζηθικλνξορςΣΤΥΦΧΨΩΪΫΌΎΏ ЁЂЃЄЅІЇЈЉЊЋЌЎЏАБВГДЕЖЗИЙКЛМНОПРСТУФХ ЦЧШЩЪЫЬЭЮЯАБВГДЕЖЗИЙКЛМНОПРСТУФХЦ ЧШЩЪЫЬЭЮЯЁЂЃЄЅІЇЈЉЊЋЌЎЏ ѢѢѲѲѴѴ ҐҐәǽ Ẁ ẁẂẃẄẅỲỳ № Do not add objects or text in the footer area Commercial in confidence | © Ericsson AB 2010 | 2010-04-13 | Page 7 Securing deliveries Is it possible to release the order 11,6 - 3,35 = 8,25 days earlier to assure the delivery? earlier to assure the delivery? Safety margin = 3,35 days Safety margin = 11,6 days Z xmxm s x xcxc p = 1% xmxm s x xcxc Z p = 25%
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Slide title minimum 32 pt (32 pt makes 2 rows Text and bullet level 1 minimum 24 pt Bullets level 2-5 minimum 20 pt !"#$%&'()*+,-./0123456789:; ?@ABCDEFGHIJKLMNOPQRST UVWXYZ[\]^_`abcdefghijklmnopqrstuvwxy z{|}~¡¢£¤¥¦§¨©ª«¬®¯°±²³´¶·¸¹º»¼½ÀÁÂÃÄÅÆÇÈËÌÍ ÎÏÐÑÒÓÔÕÖ×ØÙÚÛÜÝÞßàáâãäåæçèéêëìíîïðñ òóôõö÷øùúûüýþÿĀāĂăąĆćĊċČĎďĐđĒĖėĘęĚ ěĞğĠġĢģĪīĮįİıĶķĹĺĻļĽľŁłŃńŅņŇňŌŐőŒœŔŕŖŗ ŘřŚśŞşŠšŢţŤťŪūŮůŰűŲųŴŵŶŷŸŹźŻżŽžƒȘșˆˇ˘ ˙˚˛˜˝ẀẁẃẄẅỲỳ–—‘’‚“”„†‡…‰‹›⁄€™−≤≥fifl ĀĀĂĂĄĄĆĆĊĊČČĎĎĐĐĒĒĖĖĘĘĚĚĞĞĠĠĢĢĪĪĮĮİĶĶĹ ĹĻĻĽĽŃŃŅŅŇŇŌŌŐŐŔŔŖŖŘŘŚŚŞŞŢŢŤŤŪŪŮŮŰŰ ŲŲŴŴŶŶŹŹŻŻȘș ΆΈΉΊΌΎΏΐΑΒΓΕΖΗΘΙΚΛΜΝΞΟΠΡΣΤΥΦΧΨΪΫΆΈΉΊ ΰαβγδεζηθικλνξορςΣΤΥΦΧΨΩΪΫΌΎΏ ЁЂЃЄЅІЇЈЉЊЋЌЎЏАБВГДЕЖЗИЙКЛМНОПРСТУФХ ЦЧШЩЪЫЬЭЮЯАБВГДЕЖЗИЙКЛМНОПРСТУФХЦ ЧШЩЪЫЬЭЮЯЁЂЃЄЅІЇЈЉЊЋЌЎЏ ѢѢѲѲѴѴ ҐҐәǽ Ẁ ẁẂẃẄẅỲỳ № Do not add objects or text in the footer area Commercial in confidence | © Ericsson AB 2010 | 2010-04-13 | Page 8 Esercizio 1. Risk calculation. Qual e’ la probabilita di completare il processo descritto in piu’ di 220 ore note le attuali prestazioni delle singole attivita’? (hours) (hours) task 1 100 10 task 2 50 10 task 3 25 5 task 4 40 2 task 5 10 3.5 task 6 15 4 task 7 40 4 1 4 36 52 7
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Slide title minimum 32 pt (32 pt makes 2 rows Text and bullet level 1 minimum 24 pt Bullets level 2-5 minimum 20 pt !"#$%&'()*+,-./0123456789:; ?@ABCDEFGHIJKLMNOPQRST UVWXYZ[\]^_`abcdefghijklmnopqrstuvwxy z{|}~¡¢£¤¥¦§¨©ª«¬®¯°±²³´¶·¸¹º»¼½ÀÁÂÃÄÅÆÇÈËÌÍ ÎÏÐÑÒÓÔÕÖ×ØÙÚÛÜÝÞßàáâãäåæçèéêëìíîïðñ òóôõö÷øùúûüýþÿĀāĂăąĆćĊċČĎďĐđĒĖėĘęĚ ěĞğĠġĢģĪīĮįİıĶķĹĺĻļĽľŁłŃńŅņŇňŌŐőŒœŔŕŖŗ ŘřŚśŞşŠšŢţŤťŪūŮůŰűŲųŴŵŶŷŸŹźŻżŽžƒȘșˆˇ˘ ˙˚˛˜˝ẀẁẃẄẅỲỳ–—‘’‚“”„†‡…‰‹›⁄€™−≤≥fifl ĀĀĂĂĄĄĆĆĊĊČČĎĎĐĐĒĒĖĖĘĘĚĚĞĞĠĠĢĢĪĪĮĮİĶĶĹ ĹĻĻĽĽŃŃŅŅŇŇŌŌŐŐŔŔŖŖŘŘŚŚŞŞŢŢŤŤŪŪŮŮŰŰ ŲŲŴŴŶŶŹŹŻŻȘș ΆΈΉΊΌΎΏΐΑΒΓΕΖΗΘΙΚΛΜΝΞΟΠΡΣΤΥΦΧΨΪΫΆΈΉΊ ΰαβγδεζηθικλνξορςΣΤΥΦΧΨΩΪΫΌΎΏ ЁЂЃЄЅІЇЈЉЊЋЌЎЏАБВГДЕЖЗИЙКЛМНОПРСТУФХ ЦЧШЩЪЫЬЭЮЯАБВГДЕЖЗИЙКЛМНОПРСТУФХЦ ЧШЩЪЫЬЭЮЯЁЂЃЄЅІЇЈЉЊЋЌЎЏ ѢѢѲѲѴѴ ҐҐәǽ Ẁ ẁẂẃẄẅỲỳ № Do not add objects or text in the footer area Commercial in confidence | © Ericsson AB 2010 | 2010-04-13 | Page 9 ›Esercizio 1. Soluzione ›Qual e’ la probabilita di completare il processo descritto in piu’ di 220 ore note le attuali prestazioni delle singole attivita’? › (hours) (hours) ›Path 1 (task 1, 2, 5, 7) 200 15.1 ›path 2 (task 1, 3, 6, 7) 180 12.52 ›path 3 (task 1, 4, 7)108 10.95 1 4 36 52 7 ›Il cammino critico e’ dato dal path1 ›Z = (220-200)/15.1 = 1.32 => p = 9.27%
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